Question

Solve the following quadratic equation for all values of x in simplest form.

3(4x + 1)2 – 37 = 5

Answer 1

Explanation:

Add 37 to both sides (to combine like terms):

3(4x + 1)^2 = 42

Reduce this by dividing both sides by 3:

(4x + 1)^2 = 14

Taking the square root of both sides results in:

4x + 1 = ± √14, or

4x = -1 ± √14

Solve for x by dividing both sides by 4:

-1 ± √14

x = ----------------

4